19557980442000 has 5760 divisors, whose sum is σ = 99860648509440. Its totient is φ = 3621252096000.

The previous prime is 19557980441969. The next prime is 19557980442059. The reversal of 19557980442000 is 24408975591.

It is a happy number.

19557980442000 is a `hidden beast` number, since 1 + 9 + 5 + 579 + 8 + 0 + 44 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 153999845937 + ... + 153999846063.

It is an arithmetic number, because the mean of its divisors is an integer number (17336918144).

Almost surely, 2^{19557980442000} is an apocalyptic number.

19557980442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19557980442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49930324254720).

19557980442000 is an abundant number, since it is smaller than the sum of its proper divisors (80302668067440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19557980442000 is a wasteful number, since it uses less digits than its factorization.

19557980442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 19557980442000 in words is "nineteen trillion, five hundred fifty-seven billion, nine hundred eighty million, four hundred forty-two thousand".